True. 8*9=72 and 9*9=81. Original ratio is being multiplied by 9/9
<span>Divide the first term of the numerator by the first term of the denominator, and put that in the answer.Multiply the denominator by that answer, put that below the numerator.Subtract to create a new polynomial.
Hope this helps. :)
</span>
Answer:
x
≈
16
Explanation:
Remember Sine of an angle is
opposite side
hypotenuse
So let the hypotenuse be
x
:
sin
(
47
°
)
=
opposite side
x
sin
(
47
°
)
=
12
x
To solve for
x
, divide
sin
(
47
°
)
by
12
:
x
=
12
sin
(
47
°
)
x
≈
16
Let x represent amount invested in the higher-yielding account.
We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be
.
We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.
, where,
I = Amount of interest,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
We are told that interest rates are 6% and 10%.


Amount of interest earned from lower-yielding account:
.
Amount of interest earned from higher-yielding account:
.

Let us solve for x.



Therefore, the man invested $30,000 at 10%.
Amount invested in the lower-yielding account would be
.
Therefore, the man invested $60,000 at 6%.